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Finding the Fourth Proportional to 5,231.90, 7,840.56 and 3,931.85

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Solution

The fourth proportional to 5,231.90, 7,840.56 and 3,931.85 is: 5,892.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,231.90 : 7,840.56 = 3,931.85 : x
  2. Step 2: Convert to fraction form
    5,231.90/7,840.56 = 3,931.85/x
  3. Step 3: Cross multiply
    5,231.90x = 7,840.56 × 3,931.85
  4. Step 4: Simplify right side
    5,231.90x = 30,827,905.84
  5. Step 5: Solve for x
    x = 30,827,905.84/5,231.90
  6. Step 6: Final answer
    x = 5,892.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.